Atkin-Lehner |
2- 5- 11- 79- |
Signs for the Atkin-Lehner involutions |
Class |
95590t |
Isogeny class |
Conductor |
95590 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
1044480 |
Modular degree for the optimal curve |
Δ |
-27745241659801600 = -1 · 216 · 52 · 118 · 79 |
Discriminant |
Eigenvalues |
2- 2 5- 2 11- -6 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-27530,8193175] |
[a1,a2,a3,a4,a6] |
Generators |
[743:19593:1] |
Generators of the group modulo torsion |
j |
-1302528459961/15661465600 |
j-invariant |
L |
17.368759250792 |
L(r)(E,1)/r! |
Ω |
0.31803909440761 |
Real period |
R |
1.7066258083416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000177 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8690d1 |
Quadratic twists by: -11 |